Subdiffusive processes can be used in finance to explicitly accommodate the presence of random waiting times between trades or "duration", which in turn allows the modelling of price staleness effects. Option pricing models based on subdiffusions are incomplete, as they naturally account for the...

Transaction-cost models in continuous-time markets are considered. Given that investors decide to buy or sell at certain time instants, we study the existence of trading strategies that reach a certain final wealth level in continuous-time markets, under the assumption that transaction costs,...

The vast majority of approaches to risk management, hedging, or portfolio planningassume that some model is given. However, under model risk, the true data gener-ating process is not known. The focus of this paper is on problems related to thehedging of derivative contracts. We explain the main...

An investor faced with a contingent claim may eliminate risk by (super-)hedging in a financial market. As this is often quite expensive, we study partial hedges, which require less capital and reduce the risk. In a previous paper we determined quantile hedges which succeed with maximal...

This study uses a comprehensive data set of VIX and CDS markets to propose pairs trading strategies that represent the dynamic relation between market risk and credit risk in an equilibrium framework with a common non stationary factor. This involves the analysis of price discovery between VIX...

Using a Bayesian time‐varying beta model, we explore how the systematic risk exposures of hedge funds vary over time conditional on some exogenous variables that managers are assumed to use in changing their trading strategies. In such a setting, we impose a structure on fund returns, betas...

Investors utility has been mathematically modeled at 1738 by Daniel Bernoulli as an attempt to capture investors preferences to lottery outcomes. Ever since the analysis of decision making under uncertainty has again become a major focus of interest. Kahneman and Tversky in 1979 suggested a more...

We derive the total variance risk premium for an index in the stochastic environment of Driessen, Maenhout and Vilkov (2009) and correct the previous authors omission of certain components which contribute significantly to index option expected returns. This study provides a mathematically...

Investors often control risk exposure by trading options. This article studies the optimal strategy for liquidating an option position. Under both complete and incomplete market settings, we quantify the value of optimally timing to liquidate, and identify the situations where it is optimal to...

In this paper, we propose a Fenchel duality approach to study the minimization problem of the shortfall risk. We consider a general increasing and strictly convex loss function, which may be more general than the situation of convex risk measures usually assumed in the literature. We first...